Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the event for close friends. She is taking $200.00 to the festival. What is the maximum number of t-shirts Staci can purchase?
Answers
Answer:
Staci can only buy 3 shirts at the festival
Step-by-step explanation:
To solve this, let's set up an inequality equation, we know that the set price to get into the festival is $87.96, so that won't change. However, we will include the variable of "t" to represent the number of shirts Staci can buy since each shirt is $30 each:
$87.96 + $30.00t < $200
Now, she only has $200, so she CANNOT exceed $200 in general. Her grand total must be less than or equal to $200.
First, let's subtract $200 - $87.96, which equals to $112.04.
With this, we can then divide that number by $30 to see how many shirts she can get with that.
$112.04 / $30 = 3.7346667
Obviously, there is no such thing as buying a .734667 shirt, so we estimate this number to solely 3.
To check our work, simply replace t with 3 in our equation.
$87.96 + $30.00(3) < $200
$87.96 + $90 < 200
$177.96 < 200
Even though we could estimate the number to 4, we cannot since that would make Staci's total $207.96 as it would exceed her $200 budget by $7.96. Therefore, she can only buy 3 shirts.
Hope this helps!